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Finding the Fourth Proportional to 333,505.26, 500,271.73 and 96,847.94

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Solution

The fourth proportional to 333,505.26, 500,271.73 and 96,847.94 is: 145,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,505.26 : 500,271.73 = 96,847.94 : x
  2. Step 2: Convert to fraction form
    333,505.26/500,271.73 = 96,847.94/x
  3. Step 3: Cross multiply
    333,505.26x = 500,271.73 × 96,847.94
  4. Step 4: Simplify right side
    333,505.26x = 48,450,287,499.30
  5. Step 5: Solve for x
    x = 48,450,287,499.30/333,505.26
  6. Step 6: Final answer
    x = 145,275.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.